We look at the division of 614419 by 96 
We want to figure out the number of times 614419 can be divided by 96.

Advancing to step 1:
When dividing 6 by 96, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 96

Advancing to step 2:
96 can be fit into 61 0 times, resulting in a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Take the next digit (4) from the dividend and append it to 61, then repeat: 614 / 96

Step 3:
96 goes into 614 6 times with a remainder of 38.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 576 from 614 and we're left with 38.
Append the next digit (4) from the dividend to 38 and continue with: 384 / 96

On to step 4:
96 can be fit into 384 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtracting 384 from 384 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 96

Let's proceed to step 5:
96 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 640.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 96

Advancing to step 6:
The number 96 fits into 19 0 times, leaving a remainder of 19.
The next digit of our result is 0. 
Result so far: 6400.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
The number 96 fits into 190 1 times, leaving a remainder of 94.
The number 1 becomes the next digit in our result. 
Result so far: 6400.1
Deduct 96 from 190 and we're left with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 8:
96 goes into 940 9 times with a remainder of 76.
Put 9 as the next digit of the answer. 
Result so far: 6400.19
If we subtract 864 from 940, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 9:
The number 96 fits into 760 7 times, leaving a remainder of 88.
Record the quotient 7 as the next digit in the result. 
Result so far: 6400.197
Deduct 672 from 760 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 10:
The number 96 fits into 880 9 times, leaving a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 6400.1979
If we take 864 away from 880, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
If we divide 160 by 96, we get 1 and a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 6400.19791
If we subtract 96 from 160, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
96 can be fit into 640 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 6400.197916
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 13:
96 goes into 640 6 times with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 6400.1979166
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 6400.1979166 with a balance of 6.4e-07.